若复数a?i1+i(a∈R,i为虚数单位)是纯虚数,则实数a的值为( )A.-1B.1C.2D.-
若复数a?i1+i(a∈R,i为虚数单位)是纯虚数,则实数a的值为( )A.-1B.1C.2D.-
日期:2016-09-13 15:26:43 人气:2
∵a?i1+i=(a?i)(1?i)(1+i)(1?i)=(a?1)?(a+1)i2=a?12?a+12i,又复数a?i1+i(a∈R,i为虚数单位)是纯虚数,∴a?12=0a+12≠0,解得:a=1.故选:B.
若复数a?i1+i(a∈R,i为虚数单位)是纯虚数,则实数a的值为( )A.-1B.1C.2D.-